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Finding the Fourth Proportional to 175,661.64, 263,534.45 and 57,333.20

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Solution

The fourth proportional to 175,661.64, 263,534.45 and 57,333.20 is: 86,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,661.64 : 263,534.45 = 57,333.20 : x
  2. Step 2: Convert to fraction form
    175,661.64/263,534.45 = 57,333.20/x
  3. Step 3: Cross multiply
    175,661.64x = 263,534.45 × 57,333.20
  4. Step 4: Simplify right side
    175,661.64x = 15,109,271,724.40
  5. Step 5: Solve for x
    x = 15,109,271,724.40/175,661.64
  6. Step 6: Final answer
    x = 86,013.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.